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Finding the Fourth Proportional to 120,604.32, 180,974.52 and 119,651.76

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Solution

The fourth proportional to 120,604.32, 180,974.52 and 119,651.76 is: 179,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,604.32 : 180,974.52 = 119,651.76 : x
  2. Step 2: Convert to fraction form
    120,604.32/180,974.52 = 119,651.76/x
  3. Step 3: Cross multiply
    120,604.32x = 180,974.52 × 119,651.76
  4. Step 4: Simplify right side
    120,604.32x = 21,653,919,833.16
  5. Step 5: Solve for x
    x = 21,653,919,833.16/120,604.32
  6. Step 6: Final answer
    x = 179,545.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.